Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets

DOI10.1007/s10711-011-9627-7zbMath1256.14059arXiv1002.0767OpenAlexW1979062707MaRDI QIDQ431063

Nicolas Dutertre

Publication date: 26 June 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0767

zbMATH Keywords

semialgebraic setsGauss-Bonnet formulaeintegral geometry: Lipschitz-Killing curvatures

Mathematics Subject Classification ID

Integral geometry (53C65) Semialgebraic sets and related spaces (14P10) Topology of real algebraic varieties (14P25)

Related Items (6)

Euler obstruction and Lipschitz-Killing curvatures ⋮ Euler obstruction, Brasselet number and critical points ⋮ Whitney stratifications and the continuity of local Lipschitz–Killing curvatures ⋮ On the topology of non-isolated real singularities ⋮ Stratified critical points on the real Milnor fibre and integral-geometric formulas ⋮ Principal kinematic formulas for germs of closed definable sets

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• Total Curvatures and Minimal Areas of Complete Open Surfaces
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• Regular Stratification of Subanalytic Sets
• Curvature Measures of Subanalytic Sets
• Lipschitz–Killing Invariants
• Scalar curvature of definable CAT-spaces
• Stiefel-Whitney classes and the conormal cycle of a singular variety

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